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Finding the Third Proportional to 744,309.75 and 1,614,645.75

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Solution

The third proportional to 744,309.75 and 1,614,645.75 is: 3,502,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,309.75 : 1,614,645.75 = 1,614,645.75 : x
  2. Step 2: Convert to fraction form
    744,309.75/1,614,645.75 = 1,614,645.75/x
  3. Step 3: Cross multiply
    744,309.75x = 1,614,645.75 × 1,614,645.75
  4. Step 4: Simplify right side
    744,309.75x = 2,607,080,897,993.06
  5. Step 5: Solve for x
    x = 2,607,080,897,993.06/744,309.75
  6. Step 6: Final answer
    x = 3,502,682.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.